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Finding the Third Proportional to 22,751 and 34,444.50

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Solution

The third proportional to 22,751 and 34,444.50 is: 52,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,751 : 34,444.50 = 34,444.50 : x
  2. Step 2: Convert to fraction form
    22,751/34,444.50 = 34,444.50/x
  3. Step 3: Cross multiply
    22,751x = 34,444.50 × 34,444.50
  4. Step 4: Simplify right side
    22,751x = 1,186,423,580.25
  5. Step 5: Solve for x
    x = 1,186,423,580.25/22,751
  6. Step 6: Final answer
    x = 52,148.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.